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Test of hypothesis-difference of means-ANOVA

The following data show samples of three chain stores in three different locations in one town and the amount of dollars spent per customer per visit. At the 0.05 level, is there a difference among the means?
Store A Store B Store C
30 42 30
14 28 14
22 20 20
18 35 16
26 49 15
25 28
36
24

Solution Preview

The following data show samples of three chain stores in three different locations in one town and the amount of dollars spent per customer per visit. At the 0.05 level, is there a difference in among the means?

Store A Store B Store C
30 42 30
14 28 14
22 20 20
18 35 16
26 49 15
25 28
36
24
Answer: There is a difference among the means (see ANOVA calculations)

Store A Store B Store C
30 42 30
14 28 14
22 20 20
18 35 16
26 49 15
25 28
36
24
Mean=μ 24.38 33.67 19
Standard deviation=sj 6.8 10.56 6.56
Sample size=nj= 8 6 5

k=no of samples= 3
Grand mean of all the three samples= 25.90 =(8 * 24.38 + 6 * 33.67 + 5 * 19 ) / ...

Solution Summary

The solution tests the hypothesis of difference between three means using ANOVA.

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